Introduction to Probability · free preview

Bernoulli, Binomial, Hypergeometric and Discrete Uniform

The first named distributions: single trials, counts of successes with and without replacement, and evenly spread mass.

1. Bernoulli and Binomial

Bernoulli and Binomial

2. Hypergeometric

Hypergeometric

3. Discrete Uniform

Discrete Uniform

4. Binomial or Hypergeometric

From a standard deck you draw 5 cards WITH replacement, reshuffling between draws, and count aces. Which distribution?

5. A Binomial probability computed

A fair coin is tossed 5 times. What is P(exactly 3 heads)?

6. Hypergeometric committee

A club has 7 women and 5 men. A committee of 4 is chosen at random. What is the probability it contains exactly 3 women? Write the answer as a fraction Binomial(7,3)Binomial(5,1)/Binomial(12,4) and enter its denominator.

7. Free throws

Making 70 percent of shots independently, what is the probability of hitting all 3 of 3 attempts? Enter a decimal like 0.34.

8. Discrete Uniform tail

A fair 20-sided die is rolled. What is the probability of rolling 17 or higher? Write it as a fraction in lowest terms and enter the numerator.

9. In your own words

In your own words, state the most important definition, theorem or method of this lesson and explain what it says.

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